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Submodular function minimization (SFM) is a fundamental and efficiently solvable problem class in combinatorial optimization with a multitude of applications in various fields. Surprisingly, there is only very little known about constraint…

数据结构与算法 · 计算机科学 2018-11-27 Martin Nägele , Benny Sudakov , Rico Zenklusen

Large-scale simulation optimization (SO) problems encompass both large-scale ranking-and-selection problems and high-dimensional discrete or continuous SO problems, presenting significant challenges to existing SO theories and algorithms.…

最优化与控制 · 数学 2024-03-26 Weiwei Fan , L. Jeff Hong , Guangxin Jiang , Jun Luo

Programmable optical devices provide performance enhancement and flexibility to spatial multiplexing systems enabling transmission of tributaries in high-order eigenmodes of spatially-diverse transmission media, like multimode fiber (MMF).…

光学 · 物理学 2024-11-01 Stefan Rothe , Fabio Barbosa , Jürgen W. Czarske , Filipe M. Ferreira

Scalability of evolutionary algorithms refers to assessing how their performance changes as problem size increases. In the area of multi-objective optimisation, research on the scalability of multi-objective evolutionary algorithms (MOEAs)…

神经与进化计算 · 计算机科学 2026-04-21 Menghao Tang , Zimin Liang , Miqing Li

It is widely recognized in modern machine learning practice that access to a diverse set of tasks can enhance performance across those tasks. This observation suggests that, unlike in general multi-objective optimization, the objectives in…

机器学习 · 计算机科学 2025-09-09 Ben Kretzu , Karen Ullrich , Yonathan Efroni

Real-world scenarios frequently involve multi-objective data-driven optimization problems, characterized by unknown problem coefficients and multiple conflicting objectives. Traditional two-stage methods independently apply a machine…

机器学习 · 计算机科学 2024-06-04 Peng Li , Lixia Wu , Chaoqun Feng , Haoyuan Hu , Lei Fu , Jieping Ye

A traditional and intuitively appealing Multi-Task Multiple Kernel Learning (MT-MKL) method is to optimize the sum (thus, the average) of objective functions with (partially) shared kernel function, which allows information sharing amongst…

机器学习 · 计算机科学 2014-04-14 Cong Li , Michael Georgiopoulos , Georgios C. Anagnostopoulos

Recently, there has been a renewed interest in decomposition-based approaches for evolutionary multiobjective optimization. However, the impact of the choice of the underlying scalarizing function(s) is still far from being well understood.…

人工智能 · 计算机科学 2014-09-22 Bilel Derbel , Dimo Brockhoff , Arnaud Liefooghe , Sébastien Verel

We propose a stochastic optimization method for the minimization of the sum of three convex functions, one of which has Lipschitz continuous gradient as well as restricted strong convexity. Our approach is most suitable in the setting where…

最优化与控制 · 数学 2017-02-01 Alp Yurtsever , Bang Cong Vu , Volkan Cevher

Training a single model for multilingual, multi-task speech processing (MSP) is severely hampered by conflicting objectives between tasks like speech recognition and translation. While multi-objective optimization (MOO) aims to align…

音频与语音处理 · 电气工程与系统科学 2025-08-14 A F M Saif , Lisha Chen , Xiaodong Cui , Songtao Lu , Brian Kingsbury , Tianyi Chen

Multi-objective optimization (MOO) has become an influential framework in many machine learning problems with multiple objectives such as learning with multiple criteria and multi-task learning (MTL). In this paper, we propose a new…

机器学习 · 计算机科学 2023-11-30 Peiyao Xiao , Hao Ban , Kaiyi Ji

This research concerns a type of configuration optimization problems frequently encountered in engineering design and manufacturing, where the envelope volume in space occupied by a number of components needs to be minimized along with…

计算工程、金融与科学 · 计算机科学 2017-06-13 Pei Cao , Zhaoyan Fan , Robert X. Gao , Jiong Tang

We consider nonlinear model predictive control (MPC) with multiple competing cost functions. This leads to the formulation of multiobjective optimal control problems (MO OCPs). Since the design of MPC algorithms for directly solving…

最优化与控制 · 数学 2022-11-23 Lars Grüne , Lisa Krügel , Matthias A. Müller

This work introduces a new cubic regularization method for nonconvex unconstrained multiobjective optimization problems. At each iteration of the method, a model associated with the cubic regularization of each component of the objective…

最优化与控制 · 数学 2025-06-11 Douglas S. Gonçalves , Max L. N. Gonçalves , Jefferson G. Melo

The necessity to find the global optimum of multiextremal functions arises in many applied problems where finding local solutions is insufficient. One of the desirable properties of global optimization methods is \emph{strong homogeneity}…

最优化与控制 · 数学 2018-01-17 Yaroslav D. Sergeyev , Dmitri E. Kvasov , Marat S. Mukhametzhanov

Multiobjective simulation optimization (MOSO) problems are optimization problems with multiple conflicting objectives, where evaluation of at least one of the objectives depends on a black-box numerical code or real-world experiment, which…

最优化与控制 · 数学 2025-01-13 Tyler H. Chang , Stefan M. Wild

The communication bottleneck of over-the-air federated learning (OA-FL) lies in uploading the gradients of local learning models. In this paper, we study the reduction of the communication overhead in the gradients uploading by using the…

信号处理 · 电气工程与系统科学 2023-04-11 Chenxi Zhong , Xiaojun Yuan

In this paper, we study the generalized problem that minimizes or maximizes a multi-order complex quadratic form with constant-modulus constraints on all elements of its optimization variable. Such a mathematical problem is commonly…

信号处理 · 电气工程与系统科学 2025-08-28 Chunxuan Shi , Yongzhe Li , Ran Tao

We study optimization algorithms for the finite sum problems frequently arising in machine learning applications. First, we propose novel variants of stochastic gradient descent with a variance reduction property that enables linear…

机器学习 · 计算机科学 2017-07-06 Jakub Konečný

Polynomial optimization problems represent a wide class of optimization problems, with a large number of real-world applications. Current approaches for polynomial optimization, such as the sum of squares (SOS) method, rely on large-scale…

最优化与控制 · 数学 2025-07-04 Dimitris Bertsimas , Dick den Hertog , Thodoris Koukouvinos